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13402304400 = 2435231360277
BaseRepresentation
bin11000111101101011…
…01110111110010000
31021121000210121100110
430132311232332100
5204421442220100
610053521521320
7653056464522
oct143665567620
937530717313
1013402304400
115758284731
1227204a3240
13135783c144
14911d6da12
1553691d250
hex31ed6ef90

13402304400 has 120 divisors (see below), whose sum is σ = 44317076224. Its totient is φ = 3458649600.

The previous prime is 13402304387. The next prime is 13402304437. The reversal of 13402304400 is 440320431.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142939 + ... + 217338.

Almost surely, 213402304400 is an apocalyptic number.

13402304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13402304400 is an abundant number, since it is smaller than the sum of its proper divisors (30914771824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13402304400 is a wasteful number, since it uses less digits than its factorization.

13402304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360329 (or 360318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 13402304400 its reverse (440320431), we get a palindrome (13842624831).

The spelling of 13402304400 in words is "thirteen billion, four hundred two million, three hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 150 155 186 200 240 248 300 310 372 400 465 496 600 620 744 775 930 1200 1240 1488 1550 1860 2325 2480 3100 3720 4650 6200 7440 9300 12400 18600 37200 360277 720554 1080831 1441108 1801385 2161662 2882216 3602770 4323324 5404155 5764432 7205540 8646648 9006925 10808310 11168587 14411080 17293296 18013850 21616620 22337174 27020775 28822160 33505761 36027700 43233240 44674348 54041550 55842935 67011522 72055400 86466480 89348696 108083100 111685870 134023044 144110800 167528805 178697392 216166200 223371740 268046088 279214675 335057610 432332400 446743480 536092176 558429350 670115220 837644025 893486960 1116858700 1340230440 1675288050 2233717400 2680460880 3350576100 4467434800 6701152200 13402304400